4(x+4)=24+5(x-35)

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Solution for 4(x+4)=24+5(x-35) equation: 


Simplifying
4(x + 4) = 24 + 5(x + -35)

Reorder the terms:
4(4 + x) = 24 + 5(x + -35)
(4 * 4 + x * 4) = 24 + 5(x + -35)
(16 + 4x) = 24 + 5(x + -35)

Reorder the terms:
16 + 4x = 24 + 5(-35 + x)
16 + 4x = 24 + (-35 * 5 + x * 5)
16 + 4x = 24 + (-175 + 5x)

Combine like terms: 24 + -175 = -151
16 + 4x = -151 + 5x

Solving
16 + 4x = -151 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
16 + 4x + -5x = -151 + 5x + -5x

Combine like terms: 4x + -5x = -1x
16 + -1x = -151 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -1x = -151 + 0
16 + -1x = -151

Add '-16' to each side of the equation.
16 + -16 + -1x = -151 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -151 + -16
-1x = -151 + -16

Combine like terms: -151 + -16 = -167
-1x = -167

Divide each side by '-1'.
x = 167

Simplifying
x = 167

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